No Primary Evidence for ν ≈ 2.7 at the 3D Anderson Orthogonal Transition — E8 Intelligence Research
FINDING: Search returned no primary numerical result for ν ≈ 2.7 at the 3D Anderson transition (orthogonal class); only lecture-level sources on finite-size scaling methodology. | MATH: Canonical values in the literature: 3D Anderson orthogonal-class exponent ν ≈ 1.57–1.58 (widely cited, e.g. Slevin–Ohtsuki scaling analyses); the value ν ≈ 2.7 does NOT correspond to the orthogonal 3D Anderson transition — it is closer to exponents reported for the 3D *quantum Hall* / unitary-class transition (ν ≈ 2.3–2.6) or to certain 2D metal-insulator crossover fits. Finite-size scaling ansatz: ξ ∝ |W − W_c|^(−ν); dimensionless conductance g(L) = G(L)/(e²/h) obeys g = F(L/ξ); at criticality g is scale-invariant, giving data collapse g(L,W) = f[(W−W_c)L^(1/ν)]. | CONNECTION: No geometric-harmony constants (0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic/root-system symmetries) appear in these sources. The only structural symmetry present is the orthogonal (time-reversal + spin-rotation) Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-05
- DOI
- https://doi.org/10.5281/zenodo.23971416
- Primary Topic
- Theoretical and Computational Physics
- Type
- preprint